Question

Solve log 2x + log 12 = 3. Round to the nearest hundredth if necessary.

Answer 1

x = 41.67

Explanation:

Use log rules to simplify:

log (2x) + log 12 = 3

log (24x) = 3

Raise 10 to both sides.

10^(log (24x)) = 10^3

24x = 10^3

24x = 1000

Solve for x.

x = 1000/24

x = 41.67